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Finding the Fourth Proportional to 12,642.16, 18,960.96 and 3,406

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Solution

The fourth proportional to 12,642.16, 18,960.96 and 3,406 is: 5,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.16 : 18,960.96 = 3,406 : x
  2. Step 2: Convert to fraction form
    12,642.16/18,960.96 = 3,406/x
  3. Step 3: Cross multiply
    12,642.16x = 18,960.96 × 3,406
  4. Step 4: Simplify right side
    12,642.16x = 64,581,029.76
  5. Step 5: Solve for x
    x = 64,581,029.76/12,642.16
  6. Step 6: Final answer
    x = 5,108.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.